TM Scattering From a Dielectric Biconvex Cylinder Loading a Shallow Circular Gap in a Perfectly Conducting Plane

Abstract

A series solution for TM scattering from a dielectric biconvex cylinder, which is formed by a semicircle and a portion of circular arc, buried in a shallow circular gap of a perfectly conducting plane is derived in this paper. The electric fields of biconvex cylinder region and its outer semi-unbounded region are represented in terms of an infinite series of cylindrical waves with unknown coefficients respectively. By employing Graf's addition theorem and matching the boundary conditions, the unknown coefficients are determined. The comparisons with available data in the literature point out a good agreement for the circular cylinder case. Some plotted results for the backscattering width and far-field radiation pattern reveal how the scattering properties have influenced by varying the depth-to-half-width ratio of the dielectric biconvex cylinder.